Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

332×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	49	16
3	105	16
4	195	16
5	297	15
6	471	15
7	909	15
8	2975	15
done	5000	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 2.0 1.0 (/ 2.0 z))
0.0b	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
0.1b	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`times-frac`
41×	`associate-+r+`
39×	`prod-diff`
13×	`fma-def`
8×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `div-inv`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`frac-add` `sum-log` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `distribute-lft-out--`

Counts

3 → 112

Calls

3 calls:

1.0ms	(fma 2.0 1.0 (/ 2.0 z))
104.0ms	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
6.0ms	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

series206.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma 2.0 1.0 (/ 2.0 z))
92.0ms	(+ (/ (fma 2.0 1.0 (/ 2.0 z)) t) (- (/ x y) 2.0))
59.0ms	(/ (fma 2.0 1.0 (/ 2.0 z)) t)

simplify2.9s

Counts

121 → 121

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	231	2073
1	507	1856
2	1207	1731
3	4319	1605
done	5000	1605

prune406.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2.0 1.0 (/ 2.0 z))
0.1b	(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 2.0 1.0 (/ 2.0 z))
1.0ms	(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma 2.0 1.0 (/ 2.0 z))
93.0ms	(fma (fma 2.0 1.0 (/ 2.0 z)) (/ 1 t) (- (/ x y) 2.0))

simplify2.3s

Counts

26 → 26

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	43	349
1	74	345
2	161	281
3	545	281
4	2727	280
done	5001	279

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (cbrt t) (cbrt t))
2.0ms	(cbrt t)
9.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt t) (cbrt t))
236.0ms	(cbrt t)
264.0ms	(cbrt t)
308.0ms	(cbrt t)

simplify4.5s

Counts

93 → 93

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune378.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
7.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

41.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
40.0ms	(* (* z 2.0) (- 1.0 t))
39.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series229.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
56.0ms	(* (* z 2.0) (- 1.0 t))
102.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	194	1833
1	536	1594
2	1820	1324
done	5000	1300

prune368.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes335.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	15	15
done	15	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

10460×

body

valid